User:Moremajorthanmajor/9edIX: Difference between revisions

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! colspan="6" |Phrygian
! colspan="6" |Phrygian
|-
|-
! rowspan="2" |Minimum
! rowspan="2" |Minimum-comma
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |Maximum
! rowspan="2" |Maximum+comma
! colspan="3" |Thirdtone
! colspan="3" |Thirdtone
! colspan="3" |Semitone
! colspan="3" |Semitone
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
|-
|-
|1
|1
|''133.333''
|130-''133.333''
|139.394
|139.394
| colspan="2" |139.6825
| colspan="2" |136.349-143.016
|140.741-140.952
|140.741-140.952
| colspan="2" |142.222-142.857
| colspan="2" |138.889-146.1905
|144-''144.444''
|144-''144.444''
|146.667
|146.667-150
|-
|-
|2
|2
|''266.667''
|260-''266.667''
|278.788
|278.788
| colspan="2" |279.365
| colspan="2" |272.698-286.032
|281.4815-281.905
|281.4815-281.905
| colspan="2" |284.444-285.714
| colspan="2" |277.778-292.381
|288-''288.889''
|288-''288.889''
|293.333
|293.333-300
|-
|-
|3
|3
|''400''
|390-''400''
|418.182
|418.182
| colspan="2" |419.048
| colspan="2" |409.048-429.047
|422.222-422.857
|422.222-422.857
| colspan="2" |426.667-428.429
| colspan="2" |416.667-438.571
|432-''433.333''
|432-''433.333''
|440
|440-450
|-
|-
|4
|4
|''533.333''
|520-''533.333''
|557.576
|557.576
| colspan="2" |558.73
| colspan="2" |545.397-559.0635
|562.963-563.8095
|562.963-563.8095
| colspan="2" |568.889-571.429
| colspan="2" |555.556-584.762
|576-''577.778''
|576-''577.778''
|586.667
|586.667-600
|-
|-
|5
|5
|''666.667''
|650-''666.667''
|696.97
|696.97
| colspan="2" |698.413
| colspan="2" |681.746-707.079
|703.704-704.762
|703.704-704.762
| colspan="2" |711.111-714.286
| colspan="2" |694.444-730.952
|720-''722.222''
|720-''722.222''
|733.333
|733.333-750
|-
|-
|6
|6
|''800''
|780-''800''
|836.364
|836.364
| colspan="2" |838.095
| colspan="2" |818.095-858.095
|844.444-845.714
|844.444-845.714
| colspan="2" |853.333-857.142
| colspan="2" |833.333-877.142
|864-''866.667''
|864-''866.667''
|880
|880-900
|-
|-
|7
|7
|''933.333''
|910-''933.333''
|975.7575
|975.7575
| colspan="2" |977.778
| colspan="2" |954.444-1001.111
|985.185-986.666
|985.185-986.666
| colspan="2" |995.556-1000
| colspan="2" |972.222-1023.333
|1008-''1011.111''
|1008-''1011.111''
|1026.667
|1026.667-1050
|-
|-
|8
|8
|''1066.667''
|1040-''1066.667''
|1115.1515
|1115.1515
| colspan="2" |1116.46
| colspan="2" |1090.794-1116.127
|1125.926-1127.619
|1125.926-1127.619
| colspan="2" |1137.778-1142.857
| colspan="2" |1121.111-1169.524
|1152-''1155.556''
|1152-''1155.556''
|1177.333
|1177.333-1200
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 99: Line 99:
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!''r¢''
!Median
!Median
!Maximum
!Maximum+comma
|-
|-
|1
|1
|146.667
|143.333-146.667
|147.368
|147.368
| colspan="2" |148.148
| colspan="2" |144.815-151.4815
|149.02
|149.02
| colspan="2" |''150''
| colspan="2" |146.667-153.333
|''150''
|151.111
|151.111
|152.381
|152.381-155.714
|-
|-
|2
|2
|293.333
|286.667-293.333
|294.737
|294.737
| colspan="2" |296.296
| colspan="2" |289.629-302.923
|288.039
|288.039
| colspan="2" |''300''
| colspan="2" |293.333-306.667
|''300''
|302.222
|302.222
|304.762
|304.762-311.429
|-
|-
|3
|3
|440
|430-440
|442.105
|442.105
| colspan="2" |444.444
| colspan="2" |434.444-454.444
|447.059
|447.059
| colspan="2" |''450''
| colspan="2" |440-460
|''450''
|453.333
|453.333
|457.143
|457.143-467.143
|-
|-
|4
|4
|586.667
|573.333-586.667
|589.474
|589.474
| colspan="2" |592.593
| colspan="2" |579.259-595.926
|596.078
|596.078
| colspan="2" |''600''
| colspan="2" |586.667-613.333
|''600''
|604.444
|604.444
|609.524
|609.524-622.857
|-
|-
|5
|5
|733.333
|716.667-733.333
|736.845
|736.845
| colspan="2" |740.741
| colspan="2" |724.074-747.407
|745.098
|745.098
| colspan="2" |''750''
| colspan="2" |733.333-766.667
|''750''
|755.556
|755.556
|761.905
|761.905-777.571
|-
|-
|6
|6
|880
|860-880
|884.2015
|884.2015
| colspan="2" |888.889
| colspan="2" |868.889-908.889
|894.118
|894.118
| colspan="2" |''900''
| colspan="2" |880-920
|''900''
|906.667
|906.667
|914.286
|914.286-934.286
|-
|-
|7
|7
|1026.667
|1003.333-1026.667
|1031.158
|1031.158
| colspan="2" |1037.037
| colspan="2" |1013.704-1060.37
|1043.137
|1043.137
| colspan="2" |''1050''
| colspan="2" |1026.667-1073.333
|''1050''
|1057.778
|1057.778
|1066.667
|1066.667-1090
|-
|-
|8
|8
|1177.333
|1151.667-1177.333
|1178.947
|1178.947
| colspan="2" |1185.1858
| colspan="2" |1158.5185-1211.852
|1192.157
|1192.157
| colspan="2" |''1200''
| colspan="2" |1177.333-1226.667
|''1200''
|1208.889
|1208.889
|1219.048
|1219.048-1245.714
|}
|}
{| class="wikitable"
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="7" |Aeolian
! colspan="6" |Aeolian
! colspan="8" |Intense Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="4" |Flattone
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="3" |Meantone
! colspan="4" |Superpyth
! colspan="5" |Superpyth
! colspan="4" |Ultrapyth
! colspan="3" |Ultrapyth
|-
|-
!Minimum
!Minimum-comma
!20/9±13¢
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!9/4±13¢
! colspan="2" |''r¢''
!Median
!'''Median'''
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!'''Median'''
!16/7±13¢
!Maximum+comma
!Maximum
|-
|-
|1
|1
|152.381
|149.048-152.381
|152.156-155.045
|153.846
|153.846
| colspan="2" |154.386
| colspan="2" |150.513-157.1795
|154.667
|154.667
| colspan="2" |152.222-158.889
| colspan="2" |''155.556''
| colspan="2" |''155.556''
|154.546-157.434
|156.863
|156.863
| colspan="2" |157.576
| colspan="2" |154.242-160.909
|158.333
|158.333
|157.575-160.464
|160-163.333
|160
|-
|-
|2
|2
|304.762
|298.095-304.762
|304.312-310.09
|307.692
|307.692
| colspan="2" |308.772
| colspan="2" |301.026-314.359
|309.333
|309.333
| colspan="2" |304.444-317.778
| colspan="2" |''311.111''
| colspan="2" |''311.111''
|309.091-314.869
|313.7255
|313.7255
| colspan="2" |315.1515
| colspan="2" |308.485-321.818
|316.667
|316.667
|315.15-320.928
|320-326.667
|320
|-
|-
|3
|3
|457.143
|447.143-457.143
|456.468-465.135
|461.5385
|461.5385
| colspan="2" |463.159
| colspan="2" |451.5385-471.5385
|464
|464
| colspan="2" |456.667-476.667
| colspan="2" |''466.667''
| colspan="2" |''466.667''
|463.637-473.303
|470.588
|470.588
| colspan="2" |472.727
| colspan="2" |462.727-482.727
|475
|475
|472.725-480.392
|480-490
|480
|-
|-
|4
|4
|609.524
|596.1905-609.524
|608.624-620.18
|615.385
|615.385
| colspan="2" |617.544
| colspan="2" |602.051-628.718
|618.667
|618.667
| colspan="2" |608.889-635.556
| colspan="2" |''622.222''
| colspan="2" |''622.222''
|618.182-629.738
|627.451
|627.451
| colspan="2" |630.303
| colspan="2" |616.97-643.636
|633.333
|633.333
|630.3-641.744
|640-653.333
|640
|-
|-
|5
|5
|761.905
|745.238-761.905
|760.78-775.224
|769.231
|769.231
| colspan="2" |771.93
| colspan="2" |752.564-785.897
|773.333
|773.333
| colspan="2" |761.111-794.444
| colspan="2" |''777.778''
| colspan="2" |''777.778''
|772.728-787.172
|784.314
|784.314
| colspan="2" |787.879
| colspan="2" |771.212-804.5455
|791.667
|791.667
|787.8745-802.319
|800-816.667
|800
|-
|-
|6
|6
|914.286
|894.286-914.286
|912.936-930.269
|923.077
|923.077
| colspan="2" |926.316
| colspan="2" |903.077-943.077
|928
|928
| colspan="2" |913.333-953.333
| colspan="2" |''933.333''
| colspan="2" |''933.333''
|927.273-944.607
|941.1765
|941.1765
| colspan="2" |945.4545
| colspan="2" |925.4545-965.4545
|950
|950
|945.449-962.782
|960-980
|960
|-
|-
|7
|7
|1066.667
|1043.333-1066.667
|1065.091-1085.313
|1076.923
|1076.923
| colspan="2" |1080.702
| colspan="2" |1053.59-1100.146
|1072.667
|1072.667
| colspan="2" |1065.556-1112.222
| colspan="2" |''1088.889''
| colspan="2" |''1088.889''
|1081.819-1102.041
|1098.804
|1098.804
| colspan="2" |1103.03
| colspan="2" |1079.697-1126.364
|1108.333
|1108.333
|1103.024-1123.246
|1120-1143.333
|1120
|-
|-
|8
|8
|1219.048
|1192.381-1219.048
|1217.248-1240.359
|1230.769
|1230.769
| colspan="2" |1235.088
| colspan="2" |1204.103-1257.436
|1237.333
|1237.333
| colspan="2" |1217.778-1271.111
| colspan="2" |''1244.444''
| colspan="2" |''1244.444''
|1236.364-1259.476
|1254.902
|1254.902
| colspan="2" |1260.606
| colspan="2" |1233.939-1287.273
|1266.667
|1266.667
|1260.6-1283.711
|1280-1306.667
|1280
|}Golden/Pyrite Tunings±13¢
|}Golden/Pyrite Tunings±13¢
{| class="wikitable"
{| class="wikitable"

Revision as of 03:25, 29 May 2019

This Long Common Practice minor mode is the neutral scale of the Fujiyama temperament family.

Intervals

Degrees Soft Phrygian Phrygian
Minimum-comma Median Maximum+comma Thirdtone Semitone
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma
1 130-133.333 139.394 136.349-143.016 140.741-140.952 138.889-146.1905 144-144.444 146.667-150
2 260-266.667 278.788 272.698-286.032 281.4815-281.905 277.778-292.381 288-288.889 293.333-300
3 390-400 418.182 409.048-429.047 422.222-422.857 416.667-438.571 432-433.333 440-450
4 520-533.333 557.576 545.397-559.0635 562.963-563.8095 555.556-584.762 576-577.778 586.667-600
5 650-666.667 696.97 681.746-707.079 703.704-704.762 694.444-730.952 720-722.222 733.333-750
6 780-800 836.364 818.095-858.095 844.444-845.714 833.333-877.142 864-866.667 880-900
7 910-933.333 975.7575 954.444-1001.111 985.185-986.666 972.222-1023.333 1008-1011.111 1026.667-1050
8 1040-1066.667 1115.1515 1090.794-1116.127 1125.926-1127.619 1121.111-1169.524 1152-1155.556 1177.333-1200
Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma r¢ Median Maximum+comma
1 143.333-146.667 147.368 144.815-151.4815 149.02 146.667-153.333 150 151.111 152.381-155.714
2 286.667-293.333 294.737 289.629-302.923 288.039 293.333-306.667 300 302.222 304.762-311.429
3 430-440 442.105 434.444-454.444 447.059 440-460 450 453.333 457.143-467.143
4 573.333-586.667 589.474 579.259-595.926 596.078 586.667-613.333 600 604.444 609.524-622.857
5 716.667-733.333 736.845 724.074-747.407 745.098 733.333-766.667 750 755.556 761.905-777.571
6 860-880 884.2015 868.889-908.889 894.118 880-920 900 906.667 914.286-934.286
7 1003.333-1026.667 1031.158 1013.704-1060.37 1043.137 1026.667-1073.333 1050 1057.778 1066.667-1090
8 1151.667-1177.333 1178.947 1158.5185-1211.852 1192.157 1177.333-1226.667 1200 1208.889 1219.048-1245.714
Degrees Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma r¢ Median Maximum+comma Minimum-comma Median Maximum+comma
1 149.048-152.381 153.846 150.513-157.1795 154.667 152.222-158.889 155.556 156.863 154.242-160.909 158.333 160-163.333
2 298.095-304.762 307.692 301.026-314.359 309.333 304.444-317.778 311.111 313.7255 308.485-321.818 316.667 320-326.667
3 447.143-457.143 461.5385 451.5385-471.5385 464 456.667-476.667 466.667 470.588 462.727-482.727 475 480-490
4 596.1905-609.524 615.385 602.051-628.718 618.667 608.889-635.556 622.222 627.451 616.97-643.636 633.333 640-653.333
5 745.238-761.905 769.231 752.564-785.897 773.333 761.111-794.444 777.778 784.314 771.212-804.5455 791.667 800-816.667
6 894.286-914.286 923.077 903.077-943.077 928 913.333-953.333 933.333 941.1765 925.4545-965.4545 950 960-980
7 1043.333-1066.667 1076.923 1053.59-1100.146 1072.667 1065.556-1112.222 1088.889 1098.804 1079.697-1126.364 1108.333 1120-1143.333
8 1192.381-1219.048 1230.769 1204.103-1257.436 1237.333 1217.778-1271.111 1244.444 1254.902 1233.939-1287.273 1266.667 1280-1306.667

Golden/Pyrite Tunings±13¢

Degrees Soft Phrygian Phrygian
Min-Med Min-Max/Med-Max Thirdtone Semitone
Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max
1 137.784-140.673 138.057-140.9455 138.6045-142.053 139.8-142.744 142.075-145.468 143.084-146.444
2 275.568-281.346 276.113-281.891 277.209-284.107 279.6-285.549 284.149-290.9365 286.168-293.287
3 413.352-422.018 414.17-422.836 415.814-426.16 419.4-428.323 426.224-436.405 429.252-439.933
4 551.136-562.691 552.226-563.782 554.418-568.213 559.2-571.0975 568.299-581.873 572.3365-586.577
5 688.919-703.364 690.283-704.727 693.023-710.267 699-713.872 710.373-727.341 715.42-733.222
6 826.70-844.037 828.3395-845.673 831.627-852.32 838.7995-856.646 853.448-872.81 858.505-879.866
7 964.487-984.7095 966.396-986.6148 970.232-994.373 978.5995-999.421 994.5225-1018.278 1001.589-1026.51
8 1102.271-1125.382- 1104.453-1127.564 1108.836-1136.427 1118.399-1142.195 1136.597-1163.746 1144.673-1173.155
Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max
1 145.751-148.641 146.101-148.99 147.36-150.249 147.796-150.685 149.391-152.28 149.951-152.84
2 291.5035-297.282 292.201-297.979 294.721-300.498 295.592-301.37 298.782-304.56 299.902-305.68
3 437.255-445.922 438.302-446.968 442.081-450.748 443.388-452.055 448.174-456.84 449.853-458.519
4 583.007-594.5625 584.402-595.958 589.441-600.997 591.164-602.74 597.565-609.12 599.804-611.359
5 728.759-743.203 730.502-744.947 736.802-751.246 738.98-753.425 746.956-761.4005 749.755-764.199
6 874.51-891.844 876.603-893.937 884.161-901.495 886.776-904.11 896.347-913.681 899.7055-917.039
7 1020.262-1040.484 1022.704-1042.926 1031.522-1051.7445 1034.572-1054.795 1045.7385-1065.961 1049.6565-1069.879
8 1166.014-1189.125 1168.804-1191.9155 1178.883-1201.994 1182.269-1205.48 1195.13-1216.241 1199.607-1222.7185
Degrees Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Min-Med Med-Max~Min-Max Min-Med/Min-Max Med-Max Min-Med Min-Max/Med-Max Min-Med/Min-Max Med-Max
1 152.036-154.925 152.67-156.021 153.337-156.226 154.185-157.074 155.622-158.511 156.663-159.552 157.159-160.047
2 304.072-309.85 305.139-312.043 306.673-312.451 310.368-316.146 311.244-317.022 313.325-319.103 314.317-320.095
3 456.108-464.774 457.809-468.064 460.011-468.678 465.553-478.22 466.866-475.532 469.989-478.655 471.476-480.142
4 608.144-619.699 610.278-624.085 613.348-624.903 620.737-632.293 622.488-634.044 626.652-638.208 628.635-640.189
5 760.192-774.623 762.838-780.107 766.685-781.109 775.921-790.3655 778.11-792.554 783.315-797.759 785.794-800.238
6 912.215-929.549 915.418-936.128 920.023-937.356 931.105-948.439 934.066-950.732 940.315-956.978 942.952-960.286
7 1064.251-1084.473 1067.988-1092.15 1073.359-1093.5815 1086.29-1106.512 1089.354-1109.576 1096.64-1116.862 1100.111-1120.333
8 1216.286-1239.398 1220.557-1248.172 1226.696-1249.808 1241.473-1264.585 1244.975-1268.087 1253.303-1276.415 1257.27-1280.381

By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.

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